(2x^2-7)+(8-5x^2)=

Solution for (2x^2-7)+(8-5x^2)= equation:

Simplifying
(2x2 + -7) + (8 + -5x2) = 0

Reorder the terms:
(-7 + 2x2) + (8 + -5x2) = 0

Remove parenthesis around (-7 + 2x2)
-7 + 2x2 + (8 + -5x2) = 0

Remove parenthesis around (8 + -5x2)
-7 + 2x2 + 8 + -5x2 = 0

Reorder the terms:
-7 + 8 + 2x2 + -5x2 = 0

Combine like terms: -7 + 8 = 1
1 + 2x2 + -5x2 = 0

Combine like terms: 2x2 + -5x2 = -3x2
1 + -3x2 = 0

Solving
1 + -3x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -3x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x2 = 0 + -1
-3x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3x2 = -1

Divide each side by '-3'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}